A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
On the equations of open channel flow
The traditional equations for describing open channel flow have appeared in the literature for decades and are so ingrained that they might seem to be statements of settled science. Careful derivations that detail assumptions and approximations relied upon in the formulation are mostly absent. We derive mass, momentum, and energy equations by averaging their small-scale counterparts and formulate forms that are Galilean invariant as required by continuum mechanics. Averaging is over a time increment and a spatial region in a single step, clarifying the need for closure relations. The derivation leads to the Boussinesq tensor and Coriolis vector as rigorous generalizations of the Boussinesq and Coriolis coefficients typically proposed. Examples are provided for the computation of these coefficients from published data. The approach employed here can be extended to systems such as pipe flow or shallow water equations, and the Galilean invariant forms are also suitable for entropy generation analyses.
On the equations of open channel flow
The traditional equations for describing open channel flow have appeared in the literature for decades and are so ingrained that they might seem to be statements of settled science. Careful derivations that detail assumptions and approximations relied upon in the formulation are mostly absent. We derive mass, momentum, and energy equations by averaging their small-scale counterparts and formulate forms that are Galilean invariant as required by continuum mechanics. Averaging is over a time increment and a spatial region in a single step, clarifying the need for closure relations. The derivation leads to the Boussinesq tensor and Coriolis vector as rigorous generalizations of the Boussinesq and Coriolis coefficients typically proposed. Examples are provided for the computation of these coefficients from published data. The approach employed here can be extended to systems such as pipe flow or shallow water equations, and the Galilean invariant forms are also suitable for entropy generation analyses.
On the equations of open channel flow
Guerin Gray, William (author) / Timothy Miller, Cass (author)
Journal of Hydraulic Research ; 61 ; 1-17
2023-01-02
17 pages
Article (Journal)
Electronic Resource
Unknown
| Springer Verlag | 2009
Tabular Solution of Open Channel Flow Equations
| ASCE | 2021
Tabular solution of open channel flow equations
| Engineering Index Backfile | 1959
One-Dimensional Equations of Open-Channel Flow
| ASCE | 2021
One-dimensional equations of open-channel flow
| Engineering Index Backfile | 1969